- Tytuł:
- The coincidence index for fundamentally contractible multivalued maps with nonconvex values
- Autorzy:
- Gabor, Dorota
- Powiązania:
- https://bibliotekanauki.pl/articles/1207916.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
condensing map
Fredholm operator
boundary value problem in Banach spaces
fixed point index
coincidence points - Opis:
- We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.
- Źródło:
-
Annales Polonici Mathematici; 2000, 75, 2; 143-166
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł